Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

This project is a comprehensive collection of Python functions implemented within a single Jupyter Notebook (ProgramCodes.ipynb). It serves as a computational library focusing primarily on Number ...

Abstract: This paper introduces a new paradigm for the construction of reversible transforms that map integers to integers. Transform matrices with integer entries are first considered, and the ...